{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "from scipy import signal\n",
    "import cmath\n",
    "import csv\n",
    "\n",
    "nsamples = 8_192\n",
    "fs = 44_100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. 构建时域信号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.        +0.j          0.57369899+1.78585434j  1.00803326+1.76475564j\n",
      " ... -1.60045476+1.9580441j  -1.25418625+0.62632024j\n",
      " -0.80628912-0.36653756j]\n"
     ]
    }
   ],
   "source": [
    "def generate_signal(samples = 2048, fs = 44_100):\n",
    "    f0, f1, f2, f3, f4 = 1_000, 4_000, 6_000, 8_000, 17_357\n",
    "    ts = 1 / fs\n",
    "    time = np.linspace(0, samples*ts, samples)\n",
    "\n",
    "    tone_0 = 1 * np.sin(2*np.pi*f0*time)\n",
    "    tone_1 = 0.8 * np.sin(2*np.pi*f1*time)\n",
    "    tone_2 = 2 * np.sin(2*np.pi*f2*time)\n",
    "    tone_3 = 0.1 * np.sin(2*np.pi*f3*time)\n",
    "    tone_4 = 0.3* np.sin(2*np.pi*f4*time)\n",
    "    signal = tone_0 + tone_1 + tone_2*1j + tone_3*1j + tone_4*1j\n",
    "    return signal\n",
    "\n",
    "signal = generate_signal(nsamples, fs)\n",
    "print(signal)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. 使用Scipy计算FFT并可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\anaconda3\\lib\\site-packages\\matplotlib\\cbook\\__init__.py:1335: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x181f28ec130>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def compute_fft(data, fs = 44_100):\n",
    "    samples = len(data)\n",
    "    ts = 1 / fs\n",
    "    spectrum = np.fft.fft(data)\n",
    "    freqs = np.fft.fftshift(np.fft.fftfreq(samples, d=ts))\n",
    "    return spectrum, freqs\n",
    "\n",
    "# 计算FFT\n",
    "spectrum, freqs = compute_fft(signal, fs)\n",
    "\n",
    "# 绘制频谱图\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(freqs / 1e3, 20*np.log(spectrum), label=\"Scipy\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. 保存时域信号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64\n"
     ]
    }
   ],
   "source": [
    "def vector2file_cint16(data: np.array, file: str, plio = 128, bits = 16, scale: bool=True):\n",
    "    \"\"\"\n",
    "    data: samples\n",
    "    file: output filename\n",
    "    plio: bit width of the PLIO port\n",
    "    bits: bit precision per sample\n",
    "    \"\"\"\n",
    "    \"\"\"Scale signal to use full precision\"\"\"\n",
    "    maxr = np.max(np.abs(data.real))\n",
    "    maxi = np.max(np.abs(data.imag))\n",
    "    maxv = maxr if maxr > maxi else maxi\n",
    "    if scale:\n",
    "        vscale = 2**int(np.floor(np.log2((1 << (bits-1)) / maxv)))\n",
    "        vscale = 1<<6\n",
    "    else:\n",
    "        vscale = 1\n",
    "    data = data * (vscale if scale else 1)\n",
    "    \"\"\"Write value to file\"\"\"\n",
    "    with open(file, 'w', newline='') as f:\n",
    "        for i, v in enumerate(data):\n",
    "            r = np.int16(v.real)\n",
    "            c = np.int16(v.imag)\n",
    "            f.write(\"{} {} \".format(r, c))\n",
    "            if (((i+1) % 4) == 0 and plio == 128) or (((i+1) % 2) == 1 and plio == 64):\n",
    "                f.write('\\n')\n",
    "    return vscale\n",
    "\n",
    "# 由于AIE使用了8个plio，所以AIE仿真的输入文件分8个导出\n",
    "data_in_pl = np.empty(0,) # 合并8个输入文件，作为PL的输入\n",
    "for i in range(8):\n",
    "    data_in_pl = np.concatenate((data_in_pl, signal[i::8]))\n",
    "    vscale = vector2file_cint16(signal[i::8], '../aie/data/DataInFFT'+str(i)+'.txt', scale=True)\n",
    "\n",
    "# 合并8个文件，作为PL的输入\n",
    "vscale = vector2file_cint16(data_in_pl, '../execution/DataInFFT0.txt', scale=True)\n",
    "print(vscale)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. 执行AIE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. 读取AIE/PL输出"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 400.+277.j -763.-486.j -146. -77.j ...  841.+327.j  783.+882.j\n",
      "  568.+179.j]\n"
     ]
    }
   ],
   "source": [
    "def read_file(file: str, samples: int):\n",
    "    value = np.zeros(samples, dtype=np.complex128)\n",
    "    count = 0\n",
    "    with open(file,'r') as f:\n",
    "        reader = csv.reader(f, delimiter=\" \")\n",
    "        for line in reader:\n",
    "            if 'T' in line[0]:\n",
    "                continue\n",
    "            for i in range(0, len(line), 2):\n",
    "                if line[i] != '':\n",
    "                    value[count] = np.int16(line[i]) + 1j* np.int16(line[i+1])\n",
    "                    count = count + 1\n",
    "    return value\n",
    "\n",
    "# Use the output file from the AIE/PL\n",
    "signal_read = read_file('../execution/DataOutFFT0.txt', nsamples) # read from pl\n",
    "print(signal_read)\n",
    "\n",
    "read_from_aie = False\n",
    "\n",
    "if ( read_from_aie ): # use the output from AIE\n",
    "    signal_read = read_file('../aie/data/DataOutFFT0.txt', nsamples)\n",
    "else: # use the output from PL\n",
    "    signal_read = read_file('../execution/DataOutFFT0.txt', nsamples)\n",
    "\n",
    "print(signal_read)\n",
    "\n",
    "sr = [[] for i in range(8)]\n",
    "for i in range(0, nsamples, 4):\n",
    "    sr[(i//4)%8] += list(signal_read[i:i+4])\n",
    "signal_read = np.concatenate(sr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 6. 可视化AIE/PL输出"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x181f29fca90>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.plot(freqs / 1e3, 20*np.log(signal_read/vscale), label=\"AIE/PL\")\n",
    "plt.plot(freqs / 1e3, 20*np.log(spectrum), label=\"Scipy\",linestyle='--')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7. 验证AIE/PL输出"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "36188.218022452\n",
      "32913.132292564784\n",
      "Numpy: Max Real 3998.2180224519952, Max Imag 5728.0810513271335\n",
      "Numpy: Max Real 32190.0, Max Imag 32391.0\n"
     ]
    }
   ],
   "source": [
    "error = spectrum - signal_read\n",
    "print(np.max(np.abs(error.real)))\n",
    "print(np.max(np.abs(error.imag)))\n",
    "\n",
    "def findmax(fftnp, fftaie):\n",
    "    print(f'Numpy: Max Real {np.max(np.abs(fftnp.real))}, Max Imag {np.max(np.abs(fftnp.imag))}')\n",
    "    print(f'Numpy: Max Real {np.max(np.abs(fftaie.real))}, Max Imag {np.max(np.abs(fftaie.imag))}')\n",
    "\n",
    "findmax(spectrum, signal_read)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  },
  "vscode": {
   "interpreter": {
    "hash": "bd76463b23fe99089a42dcbd61c93a219c6242df3d4b53db5f5a167e07e18f3c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
